Fanny has 25% as many beads as Rachel. Rachel has 130% as many beads as Betty. If Rachel gives 60 beads to Betty, both will then have an equal number of beads. Find the average number of beads the three of them have.

Fanny	Rachel	Betty
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

The number of beads that Fanny has is repeated.  Make the number of beads that Fanny has the same. LCM of 4 and 13 is 52.

	Rachel	Betty	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of beads that Rachel and Betty have
= 52 u + 40 u
= 92 u

After Rachel gives to Betty, both of them will have the same number of beads. 

The total number of beads that Rachel and Betty have remains unchanged.

Number of beads that each of them will have
= 92 u ÷ 2
= 46 u

Number of beads that Rachel gives to Betty
= 52 u - 46 u
= 6 u

6 u = 60

1 u = 60 ÷ 6 = 10

Total number of beads that three of them have
= 92 u + 13 u
= 105 u

Average number of beads that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 10
= 350

Answer(s): 350